Monthly hydrological and daily meteorological data were collected across the Three-Rivers Headwater Region (TRHR) over a period from 1956 to 2012. Modified Mann–Kendall tests, flow duration curves, and correlation statistics were performed to identify long-term trend and interrelationships between these hydro-meteorological variables and to analyse the factors influencing runoff. The results of these analyses are as follows. (1) In the last 57 years, the annual runoff in the Lancang River Basin (LRB) and the Yangtze River Basin (YARB) has shown an increasing trend, while the runoff in the main stream of the Yellow River Basin (YRB) was slightly reduced. (2) In the YRB and the YARB, both the high and low flows decreased and increased together, respectively, whereas in the LRB, the high flow decreased while the low flow increased. (3) In the TRHR, the proportional change in annual runoff due to climate variability accounted for >85% of the observed change, while anthropogenic activity and glacier melting was responsible for ∼15%. The contribution of anthropogenic activity in the YRB and LRB was higher than that in YARB due to the greater anthropogenic activity. The contribution of glacier melting in the YARB and LRB were obviously higher than that in YRB due to the higher densities of glaciers.

Global change has become an indisputable fact (IPCC 2007). As an important aspect of this change, climate warming has already had an important influence on natural ecosystems and water resources (Houghton et al. 2001). Climate warming can accelerate the water cycle and alter the spatial and temporal distribution patterns of the regional water resources (Boer et al. 2000; Nijssen et al. 2001; Labat et al. 2004; Ramanathan et al. 2005). There has been an increase in studies into the effects of a changing climate on hydrology and water resources over the past decades (e.g. Lettenmaier et al. 1999; Xu & Singh 2004; Chen et al. 2006; Gardner 2009; Zhang et al. 2009). In China, many scholars have conducted systematic and in-depth research into the spatial and temporal distribution patterns, evolution, and factors influencing changes in the water resources of the Yellow River Basin (YRB), Yangtze River Basin (YARB), Haihe River Basin, Northwest Inland River Basin, and other basins (Fu et al. 2004; Hao et al. 2008; Yang & Tian 2009; Shi et al. 2013). Some researchers have focused on water cycle-related factors, including changes to and interrelationships between runoff, precipitation, evaporation, groundwater, and soil water, and have been especially concerned with the historical evolution and possible future change to water resources under various different climate scenarios and changing environments, including human-induced land use and land cover changes (Hao et al. 2008; Yang & Tian 2009; Zhang et al. 2009; Shi et al. 2013). Research results have shown that the runoff in some Chinese river basins, especially those in the north of the country, has been decreasing to varying degrees, which has reached a significant level in some parts of the basins (Liu & Zheng 2004; Hao et al. 2008; Wang et al. 2009; Yang & Tian 2009; Zhang et al. 2009; Ma et al. 2010; Yang et al. 2010; Shi et al. 2013). Additionally, the results have revealed some of the causes of runoff variation, among which climate warming and increased evaporation, volatility of precipitation, increased water consumption for industrial and agricultural production, and underlying surface changes caused by human activities have been considered as the main causes for the sharp drop in runoff (Liu & Zheng 2004; Hao et al. 2008; Wang et al. 2009; Yang & Tian 2009; Ma et al. 2010; Yang et al. 2010).

The research carried out to date has some shortcomings and deficiencies, however. Firstly, previous studies have focused more on identifying changes and performing attribution analysis for the water volumes of major rivers on national and regional scales, but little attention has yet been given to small-scale basins. Some specific regions have insufficient geographical areas to be considered in water resources planning, eco-environmental construction, and other local governmental policies. Secondly, a number of these previous studies have not adequately revealed the intra-annual and inter-annual change of runoff, leading to single and one-sided attribution analysis of runoff variation, which is not conducive to a comprehensive understanding of the evolution of water resources. China covers a vast area of land, with large geographical differences between the north and south of the country. As a result, the water cycles of different basins have markedly different characteristics, and even the features and problems faced by different sections of the same basin. In general, in the eastern monsoon regions, precipitation recharge is the major source of runoff, accounting for more than 80% of the total, and the variations in runoff are basically correlated with monsoon strength. In contrast, in the Northwest Inland River Basins, precipitation recharge is not the only source of runoff, as meltwater from glacier and snow accounts for more than 50% of the total runoff in some basins. In these basins, the intra-annual distribution of runoff is affected by the monsoon, but it is also connected to the amount of spring snowmelt and other factors (Xu et al. 2004; Chen et al. 2006; Hao et al. 2008).

The Three-Rivers Headwater Region (TRHR) in China plays an important role in East Asian and global river systems (Liu et al. 2008a, 2008b; Fang 2012; Tong et al. 2014). The TRHR has an altitude ranging between 3,335 and 6,564 m, with glaciers, snow cover, permafrost and wetland widely distributed across the area, making its river systems unique, and this has been the key point in studies into cryosphere hydrology and the water resources of the Tibetan Plateau (Liu et al. 2008a, 2008b; Fang 2012; Tong et al. 2014). Under the background of a changing climate, this area has experienced glacier recession, snow melting, permafrost degradation, amongst other warming phenomena, all of which constitute a serious threat to water conservation (Liu et al. 2008a, 2008b; Tong et al. 2014). Previous studies into climate change and water resources in the TRHR have typically used a small number of basins to study the long-term trends in runoff for the three basins, but have thus far paid little attention to the area's sub-basins (Bing et al. 2011; Zhang et al. 2012).

Therefore, the present study makes use of observational data from ten hydrological stations and nearly 20 meteorological stations across the TRHR to pursue the following objectives: (1) to investigate long-term streamflow and climate change in the major rivers of this region, focusing on the analysis of intra-annual and inter-annual change patterns; and (2) to determine the change in streamflow and its relation to precipitation, evapotranspiration, glacier melting, and human water consumption. Furthermore, we try to give the contribution ratio of climate variability, glacier melting, and human water consumption to streamflow. The primary goal of this study is to evaluate the impact of climate change and human activities on streamflow, and to provide basic information for modelling, the forecast of water resources, and in local governmental planning and decision-making with regard to water resources.

The TRHR is located in the hinterland of the Tibetan Plateau, in southern Qinghai Province, and contains the headwaters of the Yellow River, Yangtze River, and Lancang River. Geographically, it is located between 31 °29′ N and 36 °12′ N, and between 89 °45′ E and 102 °23′ E. It has a total area of approximately 39.6 × 104 km2 (Liu et al. 2008a, 2008b; Fang 2012; Zhang et al. 2012). The topography of the TRHR is mainly mountainous, with an altitude ranging from 3,335 to 6,564 m, and high mountains with altitudes of 4,000–5,800 m forming the main skeleton of the topography. The climate of the TRHR is a typical plateau continental climate, with alternating hot and cold seasons, distinct wet and dry seasons, a low annual temperature, long sunshine hours, and intense solar radiation (Liu et al. 2014). The spatial distributions of soils show significant vertical zonation, with, from high to low altitude: alpine cold desert soil, alpine meadow soil, gray, brown soil, chestnut soil and mountain forest soil (Liu et al. 2008a, 2008b; Shao et al. 2009; Fan et al. 2010).

Data collection

Daily precipitation and air temperature were recorded at 21 ground meteorological stations (Figure 1), and upper air temperature was recorded by three radiosondes, over a 57-year period from January 1956 to December 2012; all meteorological data are provided by the China Meteorological Administration (http://cdc.cma.gov.cn/home.do). To guarantee the accuracy of the results, the data was preprocessed before the analysis. The observational data of missing data years of more than 5a (including 5a) were excluded. The time series data of partially relocated stations were unified, and the remaining missing observation data were completed with a linear regression method and adjacent station interpolation to ensure the integrity of the time series. The division of the year is based on conventional meteorological seasons: December–February, March–May, June–August, and September–November. The regional averages refer to the arithmetic mean value of the stations within a region. Annual and seasonal precipitation and temperature averages were thus calculated from these records using the Thiessen Polygon method for each river basin.
Figure 1

The TRHR in northwest China and the gauge stations (red triangles) and meteorological stations (black dots) used in this study. The full colour version of this figure is available in the online version of this paper: http://dx.doi.org/10.2166/wcc.2016.047.

Figure 1

The TRHR in northwest China and the gauge stations (red triangles) and meteorological stations (black dots) used in this study. The full colour version of this figure is available in the online version of this paper: http://dx.doi.org/10.2166/wcc.2016.047.

Close modal

Monthly streamflow records were collected for the same period from ten major river gauge stations (Table 1) across the TRHR. These gauge stations include six stations on the mainstreams of the YRB, YARB, and Lancang River Basin (LRB), and four stations on the tributaries of these three rivers. In instances when runoff data were missing, we used runoff data from similar rainfall conditions at other times as a replacement.

Table 1

Summary of gauging stations and hydrological characteristics in the TRHR, northwest China. MYR, MYAR and MLR represent the mainstream of the Yellow River, Yangtze River, and Lancang River, respectively. DA is the drainage area

Location
Time series
IDBasinRiverGauge station (abbreviation)DA (km2)Longitude (°E)Latitude (°N)
Yellow River MYR Huangheyan (HHY) 20,930 98.17 34.88 1956–2012 
 MYR Jimai (JM) 45,019 99.65 33.77 1956–2012 
MYR Maqu (MQ) 86,048 102.08 33.97 1956–2012 
MYR Tangnaihai (TNH) 121,972 100.15 35.50 1950–2012 
Qushian River Damitan (DMT) 5,786 100.23 35.33 1956–2010 
Longwu River Tongren (TR) 2,832 102.03 35.52 1956–2012 
Yangze River Tuotuo River Tuotuohe (TTH) 15,924 92.44 33.22 1956–2012 
MYAR Zhimenda (ZMD) 137,704 97.24 33.01 1956–2012 
Lancang River MLR Xiangda (XD) 17,907 96.48 32.25 1956–2012 
10  Ziqu River Xialaxiu (XLX) 4,125 97.56 32.61 1956–2012 
Location
Time series
IDBasinRiverGauge station (abbreviation)DA (km2)Longitude (°E)Latitude (°N)
Yellow River MYR Huangheyan (HHY) 20,930 98.17 34.88 1956–2012 
 MYR Jimai (JM) 45,019 99.65 33.77 1956–2012 
MYR Maqu (MQ) 86,048 102.08 33.97 1956–2012 
MYR Tangnaihai (TNH) 121,972 100.15 35.50 1950–2012 
Qushian River Damitan (DMT) 5,786 100.23 35.33 1956–2010 
Longwu River Tongren (TR) 2,832 102.03 35.52 1956–2012 
Yangze River Tuotuo River Tuotuohe (TTH) 15,924 92.44 33.22 1956–2012 
MYAR Zhimenda (ZMD) 137,704 97.24 33.01 1956–2012 
Lancang River MLR Xiangda (XD) 17,907 96.48 32.25 1956–2012 
10  Ziqu River Xialaxiu (XLX) 4,125 97.56 32.61 1956–2012 

The digital elevation model (DEM) with 90 m resolution derived from the US Geological Survey (www.usgs.gov/), and the glacier area data in the TRHR was taken directly from the Cold and Arid Regions Science Data Center (http://westdc.westgis.ac.cn/). The land use maps in TRHR in 1985, 2000, and 2010 were derived from the Cold and Arid Regions Science Data Center.

Method

Analysis of intra-annual variations in streamflow

The non-uniformity coefficient of discharge variation during a year (Cy) was employed to analyse fluctuations in intra-annual discharge. This coefficient is based on:
formula
1
where Q(t) is the monthly discharge for month (t), and is the average of Q(t). The larger Cy is, the less uniform the distribution of intra-annual discharge. When the value of Cy approaches zero, this implies that monthly discharge tends to be even throughout the year.

Flow frequency analysis

Flow duration curves (FDCs) were constructed for daily, monthly, and annual river discharges, over each time interval of interest. Each value of discharge (Q) has a corresponding exceedance probability (P), which indicates the percentage of time when a given flow rate is equalled or is exceeded (Melesse et al. 2010). An FDC is, therefore, simply a plot of Qp, the Pth quantile or percentile of streamflow, against the exceedance probability P (Smakhtin 1999). The FDCs in this study were used to determine streamflows with 5, 50, and 95% exceedance probabilities. The ratios of (Q5/Q50) and (Q95/Q50) were then used to examine changes in low and high flow patterns.

Mann–Kendall trend analysis

To analyse the long-term trends in the various hydro-meteorological variables, the non-parametric Mann–Kendall (Mann 1945; Kendall 1975) test was applied. This method has been widely used to detect trends in climate and streamflow time series (e.g. Chattopadhyay et al. 2011). In the Mann–Kendall test, the null hypothesis, H0, states that x1, … , xn are samples of n independent and identically distributed random variables with no seasonal change. The alternative hypothesis, H1, in a two-sided test defines the distributions of xk and xj as non-identical for all k, jn, with kj. The test statistic S is given as:
formula
2
formula
3
If the data set is independent and identically distributed, then the mean of S will be zero and the variance of S will be:
formula
4
where n is the number of data points, t is the extent of a given time, m is the number of tied groups, and tj is the number of data points in the jth group. A tied group is a set of data points that have the same value. A normalized test statistic, Z, can be calculated based on S as follows:
formula
5
when the significance levels are set at 0.01, 0.05, and 0.1, |Zα| is 2.58, 1.96, and 1.65, respectively. At these specific significance levels, if |Z| > |Zα|, then the null hypothesis H0 is rejected and the trend is significant at the set level of significance. Otherwise, no significant trend exists.
In the Mann–Kendall test, the slope estimated using the Theil–Sen's estimator (Theil 1950; Sen 1968) is usually considered to represent the monotonic trend and indicate the variable quantity in the unit time. It is a robust estimate of the magnitude of a trend and has been widely used to identify the slope of a trend line in hydrological or climatic time series (Jhajharia et al. 2009). The estimator is given as:
formula
6
where 1 < l < j < n, α is the median of all combinations of record pairs for the entire data set, and is resistant to the effects of extreme observations. A positive α denotes an increasing trend, while a negative α indicates a decreasing trend.

Estimating the impact of climate variability on streamflow

It can be assumed that a change in mean annual runoff can be determined using the following expressions (Koster & Suarez 1999; Milly & Dunne 2002):
formula
7
formula
8
where ΔQclim, ΔQglac, and ΔQhum are, respectively, the changes in streamflow caused by climate variability, glacier melting, and human activities. ΔP and ΔE0 are changes in precipitation and potential evapotranspiration, respectively; β is the sensitivity of streamflow to precipitation, and γ is the sensitivity to potential evapotranspiration.
The sensitivity coefficients can be expressed as:
formula
9
formula
10
where x is the index of dryness and is equal to E0/P, ω is the plant-available water coefficient, which represents the relative difference in the way plants use soil water for transpiration.

According to the published literature in China (Sun et al. 2006) and elsewhere (Zhang et al. 2001), the ω parameter values were assigned as 2.0 for high-cover woodland (where forest cover >30%), 1.0 for low-cover woodland (where forest cover <30%), 0.5 for grassland and cropland, 1.0 for shrubland, 0.1 for building and barren land. In this study, the coverage of land uses was known from the land-use maps; according to the land-use maps in 1985, 2000 and 2010, we obtained the mean value of different land-use coverages. Then, the sensitivity of streamflow to precipitation (β) and streamflow to potential evapotranspiration (γ) could be calculated by Equations (9) and (10), respectively. The change in streamflow caused by climate variability (ΔQclim) was calculated as Equation (8).

Glacier mass balance and glacier runoff simulations using a modified degree-day model

Glacier mass balance and glacier runoff simulations were conducted in monthly time steps using a degree-day model based on the principles of the original degree-day model, modified to monthly time steps. This degree-day model is based on an assumed relationship between ablation and air temperature, usually expressed in the form of positive temperature sums (Zhang et al. 2006):
formula
11
where DDF is the degree-day factor, which is different for snow and ice surfaces (mm·d−1·°C −1), A is the depth of meltwater (mm) and PDD is the monthly positive accumulated air temperature, which is given by Braithwaite & Olesen (1993):
formula
12
where Tt is the monthly mean air temperature and Ht is a logical variable, which can be defined such that Ht = 1 for Tt ≥ 0 °C and Ht = 0 for Tt < 0 °C. In our study, PDD was calculated based on a function derived from the relationship between PDD and the monthly average air temperature in addition to the standard deviation of the observations (Liu et al. 1996, 2006).
The mean annual mass balance was calculated based on the simulated snow accumulation and the simulated snow and ice melt as follows:
formula
13
where Bn is the annual mass balance (mm) and P is the annual snow accumulation (mm). We used a balance year running from 1 October to 30 September the following year.
For the entire basin, the glacier runoff Q for a given year is computed as:
formula
14
where s(i) is the glacier area at the ith elevation band derived from the DEM and the digital vector of the glaciers, f is the refreezing rate and Pliq(i) is the liquid precipitation directly transformed to glacier runoff. Additional details on the calculation steps for the monthly degree-day model are reported in Gao et al. (2010).

Long-term changes in precipitation and temperature

During the period of 1956–2012, the average annual precipitation in the TRHR was 452.2 mm, with a minimum value in 1962 (364.4 mm), and a maximum value in 1989 (562.8 mm) (Figure 2(a)). The precipitation in the last 57 years has experienced a significant increasing trend (10.6 mm/10 a, P < 0.01). The rate of increase during 1991–2012 (45.9 mm/10 a, P < 0.001) was noticeably larger than that during 1956–1990 (22.2 mm/10 a, P < 0.01). Considering the spatial distribution of precipitation, the average annual precipitation in the three basins was ordered LRB (526.4 mm) > YRB (446.1 mm) > YARB (435.9 mm), with the LRB consistently showing the greatest precipitation. The rate of increase in precipitation of the three basins was ordered YARB (18.72 mm/10 a) > LRB (16.82 mm/10 a) > YRB (10.77 mm/10 a), with the YARB showing the largest rate of increase.
Figure 2

Trends in (a) annual precipitation and (b) annual mean temperature in the TRHR, northwest China.

Figure 2

Trends in (a) annual precipitation and (b) annual mean temperature in the TRHR, northwest China.

Close modal

The annual average temperature for the entire region was 0.27 °C, with a maximum value in 2009 (1.76 °C) and a minimum value in 1957 (−1.00 °C) (Figure 2(b)). The temperatures thus display a clear increasing trend (0.31 °C/10 a), particularly over the 20 years since 1991. The rate of temperature increase during 1991–2012 (0.68 °C/10 a, P < 0.001) was significantly greater than that during 1956–1990 (0.18 °C/10 a, P < 0.01). Considering the spatial distribution of temperatures, the three basins may be ordered LRB (2.42 °C) > YRB (1.2 °C) > YARB (−2.5 °C), with the LRB showing the highest temperature. The order of rate of temperature increase in the three basins is YARB (0.40 °C/10 a) > LRB (0.37 °C/10 a) > YRB (0.31 °C/10 a), with the YARB showing the largest warming amplitude.

Based on our preliminary analysis of changes in precipitation and temperature, we found that the average annual temperature and annual precipitation in the TRHR has exhibited a significant increasing trend since 1990, with the rate of increase during 1991–2012 much larger than that during 1956–1990 (Table 2). This increase in temperature and precipitation may therefore be expected to exert some effects on streamflow in this region. As such, the discharge records were divided into two time periods, before 1990 and after 1990, in order to analyse the inter-annual and intra-annual variations in streamflow, by comparing the statistic coefficients from these two periods.

Table 2

Decadal means of precipitation and temperature and their changes between the 1960s and 2000–2012 in the TRHR, northwest China. YRB, YARB and LRB represent the Yellow River Basin, Yangtze River Basin and Lancang River Basin respectively, as in the following figures and tables. ΔP and ΔT are the changes in precipitation and temperature respectively, between the 1960s and 2000–2012

 Precipitation (mm)
Temperature (°C)
Basin1956–19591960s1970s1980s1990s2000–2012ΔP1956–19591960s1970s1980s1990s2000–2012ΔT
YARB 317.1 388.3 400.5 381.6 405.6 394.2 5.9 −4.3 −3.0 −2.8 −2.8 −2.4 −1.6 1.4 
LRB 401.3 470.5 454.5 494.4 540.4 552.0 81.5 1.3 1.9 2.1 2.3 2.5 3.4 1.5 
YRB 329.8 375.6 424.1 425.5 430.1 447.8 72.2 0.05 0.9 1.1 1.1 1.4 2.1 1.2 
TRHR 390.5 398.5 419.9 417.4 435.5 442.0 43.5 −0.6 −0.1 0.04 0.1 0.4 1.1 1.2 
 Precipitation (mm)
Temperature (°C)
Basin1956–19591960s1970s1980s1990s2000–2012ΔP1956–19591960s1970s1980s1990s2000–2012ΔT
YARB 317.1 388.3 400.5 381.6 405.6 394.2 5.9 −4.3 −3.0 −2.8 −2.8 −2.4 −1.6 1.4 
LRB 401.3 470.5 454.5 494.4 540.4 552.0 81.5 1.3 1.9 2.1 2.3 2.5 3.4 1.5 
YRB 329.8 375.6 424.1 425.5 430.1 447.8 72.2 0.05 0.9 1.1 1.1 1.4 2.1 1.2 
TRHR 390.5 398.5 419.9 417.4 435.5 442.0 43.5 −0.6 −0.1 0.04 0.1 0.4 1.1 1.2 

Intra-annual variations in runoff and attribution

The average non-uniformity coefficient (Cy) of runoff in the TRHR was relatively large, with the value of both periods (1956–1990 and 1991–2012) being generally greater than 0.66 (Table 3). Comparing the two periods, with the exception of a small number of individual stations, Cy during 1991–2012 was generally less than that during 1956–1990. Cy in the YRB (Tangnaihai) decreased by 0.04, in the YARB (Zhimenda and Tuotuohe) it decreased by 0.01, and in the LRB (Xiangda) it decreased by 0.05. It should be noted that the total runoff in the TRHR increased during 1991–2012, but the Cy decreased during this time.

Table 3

Average non-uniformity coefficients (Cy, calculated for each year with n = 12) of streamflow recorded at ten gauge stations in the TRHR

IDGauge station1956–19901991–2012IDGauge station1956–19901991–2012
Damitan 0.83 0.91 Tangnaihai 0.75 0.71 
Huangheyan 0.66 0.72 Xialaxiu 0.66 0.66 
Jimai 0.81 0.78 Xiangda 0.79 0.74 
Tongren 0.81 0.77 Zhimenda 0.99 0.98 
Maqu 0.77 0.74 10 Tuotuohe 1.36 1.35 
IDGauge station1956–19901991–2012IDGauge station1956–19901991–2012
Damitan 0.83 0.91 Tangnaihai 0.75 0.71 
Huangheyan 0.66 0.72 Xialaxiu 0.66 0.66 
Jimai 0.81 0.78 Xiangda 0.79 0.74 
Tongren 0.81 0.77 Zhimenda 0.99 0.98 
Maqu 0.77 0.74 10 Tuotuohe 1.36 1.35 

The intra-annual distribution in the TRHR generally presented a bimodal or inconspicuously unimodal pattern, with the peak values usually occurring in July and September (Figure 3). In general, water recharge from precipitation was the main reason for the increase in runoff, while increasing evaporation caused by a rise in temperature played a negative role in runoff generation. For example, Tangnaihai station in the YRB, which shows a bimodal distribution, was used to analyse the intra-annual variation characteristics of runoff (Figure 3(f)). In July, the runoff increased gently before reaching its peak, then decreased slightly in August, before reaching a second peak in September, then decreased significantly. The intra-annual variation in precipitation appears to show a similar bimodal distribution (figure omitted), with peak values appearing respectively in June and September; this indicates that lagging precipitation in June and the precipitation in July was the cause of the first peak value. The intra-annual variation in temperature shows a unimodal pattern (figure omitted), with a peak value in July. Thus, rising temperatures will have enhanced evaporation, which combined with a decrease in precipitation in August would have acted to decrease the overall August runoff. Precipitation is increased in September, and is accompanied by a decrease in temperature and evaporation, resulting in a corresponding peak in runoff at this time, which is slightly lower than the first peak. Figure 3 shows the intra-annual distribution curve of runoff during the period 1991–2012, indicating a transformation from the bimodal variation of 1956–1990, to a unimodal pattern. This may be a result of the reduction in autumn precipitation.
Figure 3

Intra-annual variability of streamflow from ten gauge stations in the TRHR, northwest China, during 1956–1990 and 1991–2012.

Figure 3

Intra-annual variability of streamflow from ten gauge stations in the TRHR, northwest China, during 1956–1990 and 1991–2012.

Close modal

Inter-annual variations in runoff

Changes in annual and seasonal streamflow

Table 4 shows that the annual runoff in the LRB (Xiangda and Xialaxiu) and the YARB (Zhimenda and Tuotuohe) have an overall increasing trend, however the variation of the main stream and branches of the YRB was inconsistent: the runoff in Tangnaihai, Maqu, and Tongren decreased slightly, but increased in Jimai and Huangheyan. Considering the seasonal variation, the runoff in the YRB (Tangnaihai) decreased most in the autumn, and also decreased in the spring, while it increased in the summer and winter. In the YARB (Zhimenda and Tuotuohe) and LRB (Xiangda and Xialaxiu), however, the runoff increased in all four seasons, with summer showing the greatest increase, and winter the smallest.

Table 4

Slopes of trend lines for the annual and seasonal streamflow recorded at ten gauge stations in the TRHR, northwest China. Qa is the annual average discharge, and QSP, QSM, QFL, and QWT represent the average discharge in spring, summer, fall and winter, respectively (m3/s·a)

IDGauge stationQaQSPQSMQFLQWT
Damitan −0.03 −0.16 −0.20 −0.20 0.03 
Huangheyan 0.02 0.01 0.03 0.05 −0.01 
Jimai 0.35 0.23 1.13 −0.25 0.26 
Tongren −0.06 −0.08 −0.13 −0.06 0.02 
Maqu −0.77 −0.43 1.27 −2.76 −0.27 
Tangnaihai −0.60 −0.46 1.22 −3.23 0.10 
Xialaxiu 0.14 0.04 0.34 0.18 0.01 
Xiangda 0.47 0.32 0.51 0.33 0.26 
Zhimenda 2.12 0.67 5.02 2.54 0.20 
10 Tuotuohe 0.37 0.09 0.96 0.39 0.004 
IDGauge stationQaQSPQSMQFLQWT
Damitan −0.03 −0.16 −0.20 −0.20 0.03 
Huangheyan 0.02 0.01 0.03 0.05 −0.01 
Jimai 0.35 0.23 1.13 −0.25 0.26 
Tongren −0.06 −0.08 −0.13 −0.06 0.02 
Maqu −0.77 −0.43 1.27 −2.76 −0.27 
Tangnaihai −0.60 −0.46 1.22 −3.23 0.10 
Xialaxiu 0.14 0.04 0.34 0.18 0.01 
Xiangda 0.47 0.32 0.51 0.33 0.26 
Zhimenda 2.12 0.67 5.02 2.54 0.20 
10 Tuotuohe 0.37 0.09 0.96 0.39 0.004 

Changes in streamflow characteristics

The FDCs of each station in the TRHR during the periods 1956–1990 and 1991–2012 are not shown, but the statistics are shown in Table 5. The high runoff and low runoff in the YRB both show varying degrees of decreasing trend. The trend in high runoff was between −11.1 and −29.7%, with the greatest decrease in Huangheyan, and the least decrease in Maqu. The variation in low runoff was between −6.0 and −99.7%, with the smallest decrease in Jimai, and the greatest decrease in Huangheyan. Taking the Tangnaihai station as an example, Q5/Q50 decreased by 5.0% between the 1956–1990 and 1991–2012 periods, but Q95/Q50 remained unchanged, indicating that the high flow of YARB decreased; for the YARB (Zhimenda station), Q5/Q50 and Q95/Q50 decreased by 10.1% and 7.1% between the two periods (1956–1990 and 1991–2012), respectively; in the LRB, the high runoff decreased while the low runoff increased. The amplitudes of variation of Q5/Q50 and Q95/Q50 at Xiangda station reached −12.8% and 32.4%, respectively.

Table 5

Characteristics of monthly streamflow from ten gauge stations in the TRHR, northwest China, during 1956–1990 and 1991–2012. Q5, Q50 and Q95 represent the high, median and low flows, respectively. Ratios of (Q5/Q50) and (Q95/Q50) were used to examine changes in low and high flow patterns. ΔQ5 and ΔQ95 are the changes in Q5 and Q95 between 1956–1990 and 1991–2012, respectively. FDCs were used to determine streamflows with 5, 50 and 95% exceedance probabilities

1956–1990
1991–2012
Changes (%)
IDGauge stationQ5Q95Q5/Q50Q95/Q50Q5Q95Q5/Q50Q95/Q50ΔQ5ΔQ95
Damitan 76.6 4.9 4.73 0.30 59.1 1.2 6.03 0.12 −22.8 −75.5 
Huangheyan 96.0 1.3 6.62 0.09 67.5 0.004 6.68 0.0004 −29.7 −99.7 
Jimai 409.0 20.0 4.47 0.22 347.0 18.8 3.69 0.20 −15.2 −6.0 
Tongren 44.8 1.71 4.19 0.16 37.5 1.6 4.31 0.18 −16.3 −6.4 
Maqu 1,260.0 100.0 3.53 0.28 1,120.0 83.8 3.51 0.26 −11.1 −16.2 
Tangnaihai 1,820.0 154.0 3.62 0.31 1,530 138.0 3.44 0.31 −15.9 −10.4 
Xialaxiu 104.0 17.4 3.57 0.60 111.2 19.0 3.54 0.61 6.9 9.2 
Xiangda 378.0 31.7 4.45 0.37 361.0 45.3 3.88 0.49 −4.5 42.9 
Zhimenda 1,290.0 56.7 6.45 0.28 1,310.0 57.9 5.80 0.26 1.6 2.1 
10 Tuotuohe 105.0 0.12 12.80 0.01 157.0 0.2 17.07 0.02 49.5 66.7 
1956–1990
1991–2012
Changes (%)
IDGauge stationQ5Q95Q5/Q50Q95/Q50Q5Q95Q5/Q50Q95/Q50ΔQ5ΔQ95
Damitan 76.6 4.9 4.73 0.30 59.1 1.2 6.03 0.12 −22.8 −75.5 
Huangheyan 96.0 1.3 6.62 0.09 67.5 0.004 6.68 0.0004 −29.7 −99.7 
Jimai 409.0 20.0 4.47 0.22 347.0 18.8 3.69 0.20 −15.2 −6.0 
Tongren 44.8 1.71 4.19 0.16 37.5 1.6 4.31 0.18 −16.3 −6.4 
Maqu 1,260.0 100.0 3.53 0.28 1,120.0 83.8 3.51 0.26 −11.1 −16.2 
Tangnaihai 1,820.0 154.0 3.62 0.31 1,530 138.0 3.44 0.31 −15.9 −10.4 
Xialaxiu 104.0 17.4 3.57 0.60 111.2 19.0 3.54 0.61 6.9 9.2 
Xiangda 378.0 31.7 4.45 0.37 361.0 45.3 3.88 0.49 −4.5 42.9 
Zhimenda 1,290.0 56.7 6.45 0.28 1,310.0 57.9 5.80 0.26 1.6 2.1 
10 Tuotuohe 105.0 0.12 12.80 0.01 157.0 0.2 17.07 0.02 49.5 66.7 

Glacier runoff change

The degree-day model estimated the glacier runoff change in the 1961–2012 period, as shown in Figure 4(a). The glacier runoff presented an obvious increasing trend, with the highest value appearing in the 2000s. The glacier mass balance change, shown in Figure 4(b), indicates increasingly large losses since the 1960s. Particularly during 2000 to 2012, the mass loss was about 549.0 mm in the YARB, 370.5 mm in the YRB and 540.8 mm in the LRB. The differences in the responses of glacier melting to climate change are attributed predominantly to glacier size and the distribution of climate conditions. Furthermore, under the conditions of rapid regional warming, a huge amount of water is released by melting glaciers, as shown in Table 6. The contribution rates of glacier runoff to total runoff, during 1960 to 2012, were 6.7% in the LRB, 1.6% in the YRB and 11.7% in YARB. Similar results have been reported in previous research (Yang 1991; Kang et al. 2004; Xie et al. 2006).
Table 6

Estimated glacier runoff during 1961–2006 in the TRHR and its contribution to total runoff

River systemGlacier area (km2)Total runoff (108m3)Glacier runoff (108m3)GR/TR (%)GR/TR (%) (Yang 1991)GR/TR (%) (Kang et al. 2004)GR/TR (%) (Xie et al. 2006)
LCRB 316.32 110.5 7.4 6.7 5.4 6.6 4.0 
YRB 172.41 245.0 3.9 1.6 1.9 1.3 0.8 
YARB 1,895.00 215.3 25.2 11.7 18.8 18.5 8.8 
River systemGlacier area (km2)Total runoff (108m3)Glacier runoff (108m3)GR/TR (%)GR/TR (%) (Yang 1991)GR/TR (%) (Kang et al. 2004)GR/TR (%) (Xie et al. 2006)
LCRB 316.32 110.5 7.4 6.7 5.4 6.6 4.0 
YRB 172.41 245.0 3.9 1.6 1.9 1.3 0.8 
YARB 1,895.00 215.3 25.2 11.7 18.8 18.5 8.8 

GR/TR is the ratio of glacier runoff to total runoff.

Figure 4

Changes in decadal mean (a) glacier runoff depth and (b) glacier mass balance in the TRHR during 1960 to 2012.

Figure 4

Changes in decadal mean (a) glacier runoff depth and (b) glacier mass balance in the TRHR during 1960 to 2012.

Close modal

Attribution analysis of inter-annual variation in runoff

In this study, the coverage of land use was known from the land-use maps, according to the land-use maps in 1985, 2000 and 2010, we obtained the mean value of different land-use coverages. Then sensitivity coefficients of runoff to changes in precipitation (β) and potential evapotranspiration (γ) could be, respectively, calculated as Equations (9) and (10). The result showed that β = 0.61 and γ = −0.42, revealing that the change in runoff was more sensitive to precipitation than to potential evapotranspiration. So the change in streamflow caused by climate variability (ΔQclim) was calculated as Equation (8).

The results indicated that in the TRHR, the proportional change in annual runoff due to climate variability accounted for >85% of the observed change, while anthropogenic activity and glacier melting was responsible for ∼15% (Table 7). The contribution rates of anthropogenic activity in the YRB and LRB were 7.7% and 6.8%, respectively, which were a little higher than that in YARB (5.1%) due to the higher population densities and greater anthropogenic activity. The contribution of glacier melting in the YARB and LRB were 9.5% and 6.8%, respectively, which were obviously higher than that in YRB (2.0%) due to the higher distribution densities of glaciers. During 1991–2012, the effects of climate variability and anthropogenic activity on runoff showed a significant difference. The glacier melting and human activities in the YRB made a negative contribution to runoff variation, however, they made a positive contribution in YARB and LRB. It can be inferred that the increase in runoff during the change period was mainly due to climate variability. Fortunately, adopting exclusion measures for preventing grassland degradation have increased vegetation recover to a certain extent, which has had a positive effect on runoff.

Table 7

Contribution ratio of climate variability, glacier runoff, and human activities on annual streamflow change during 1991–2012 (change period) compared with 1956–1990 (reference period)

ΔQclim
Basin (station)ItemΔQβΔPγΔE0ΔQclimΔQglacΔQhum
YRB (Tangnaihai) Quantity (mm) −23.9 4.7 −26.3 −21.6 −0.5 −1.7 
Contribution rate (%) 100 −19.7 110.0 90.3 2.0 7.7 
YARB (Zhimenda) Quantity (mm) 3.9 20.3 −17.0 3.3 0.4 0.2 
Contribution rate (%) 100 525.3 −439.9 85.4 9.5 5.1 
LRB (Xiangda) Quantity (mm) 5.4 18.5 −13.8 4.7 0.4 0.4 
Contribution rate (%) 100 340.1 −253.7 86.4 6.8 6.8 
ΔQclim
Basin (station)ItemΔQβΔPγΔE0ΔQclimΔQglacΔQhum
YRB (Tangnaihai) Quantity (mm) −23.9 4.7 −26.3 −21.6 −0.5 −1.7 
Contribution rate (%) 100 −19.7 110.0 90.3 2.0 7.7 
YARB (Zhimenda) Quantity (mm) 3.9 20.3 −17.0 3.3 0.4 0.2 
Contribution rate (%) 100 525.3 −439.9 85.4 9.5 5.1 
LRB (Xiangda) Quantity (mm) 5.4 18.5 −13.8 4.7 0.4 0.4 
Contribution rate (%) 100 340.1 −253.7 86.4 6.8 6.8 

  1. Precipitation and temperature in the TRHR exhibited significant increasing trends over the last 57 years, and the rate of increase during 1991–2012 was notably faster than that during 1956–1990. In the three basins, the rate of increase is ordered YARB > LRB > YRB.

  2. The annual runoff of the LRB and YARB showed an increasing trend, while the runoff in the mainstream of the YRB was slightly reduced. The intra-annual distribution of runoff shifted gradually from a double peak pattern to a single peak pattern. In the YRB and YARB, both high and low flow together decreased or increased, respectively. In the LRB, the high flow decreased while the low flow increased.

  3. In the TRHR, the proportional change in annual runoff due to climate variability accounted for >85% of the observed change, while anthropogenic activity and glacier melting was responsible for ∼15%. The contribution rates of anthropogenic activity in the YRB and LRB were a little higher than that in YARB due to the higher population densities and greater anthropogenic activity. The contribution of glacier melting in the YARB and LRB were obviously higher than that in YRB (2.0%) due to the higher distribution densities of glaciers.

This research was jointly funded by key consulting project of Chinese Academy of Engineering (2014-XZ-31) and Chinese Research Academy of Environmental Sciences special funding for basic scientific research (2014-YKY-003).

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